{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UR7VGWMYFR6MD5UCKN2WKEUWPW","short_pith_number":"pith:UR7VGWMY","canonical_record":{"source":{"id":"1608.08038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-08-29T13:05:08Z","cross_cats_sorted":[],"title_canon_sha256":"e79b98287e14fabe112efbf40b5b200f3c8033178d1cb4539f8160cdfc88fe09","abstract_canon_sha256":"6b74d0b1d6433a4de8aba98c2fe116a447a0c4e447dba26e88539ea21d3f97da"},"schema_version":"1.0"},"canonical_sha256":"a47f5359982c7cc1f68253756512967d9a1d51feb15c101ee182b5014520a57a","source":{"kind":"arxiv","id":"1608.08038","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08038","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08038v1","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08038","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"UR7VGWMYFR6M","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UR7VGWMYFR6MD5UC","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UR7VGWMY","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UR7VGWMYFR6MD5UCKN2WKEUWPW","target":"record","payload":{"canonical_record":{"source":{"id":"1608.08038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-08-29T13:05:08Z","cross_cats_sorted":[],"title_canon_sha256":"e79b98287e14fabe112efbf40b5b200f3c8033178d1cb4539f8160cdfc88fe09","abstract_canon_sha256":"6b74d0b1d6433a4de8aba98c2fe116a447a0c4e447dba26e88539ea21d3f97da"},"schema_version":"1.0"},"canonical_sha256":"a47f5359982c7cc1f68253756512967d9a1d51feb15c101ee182b5014520a57a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:49.270763Z","signature_b64":"D5NoiAHFcUrJJQnrsYEaSI96J9eahP8GebC0ZEUYORNplJdN/x0K+NNI+pfYUU2bLtj1zQzlwVsYelkIlSGIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a47f5359982c7cc1f68253756512967d9a1d51feb15c101ee182b5014520a57a","last_reissued_at":"2026-05-18T01:07:49.270290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:49.270290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.08038","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oeEyHN8wEKsrVrZmF+QB2oMzWD0v/qYS4J3uMInd0zVjVDtXDbqWqVitieRpDah3D4oHQri2Opa6nM/NRb7zAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:06:26.170582Z"},"content_sha256":"ed79d26beefed2e8f6df67d4f4c59bad5ab90f4d50964d923b06ad1bb8b7f8ad","schema_version":"1.0","event_id":"sha256:ed79d26beefed2e8f6df67d4f4c59bad5ab90f4d50964d923b06ad1bb8b7f8ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UR7VGWMYFR6MD5UCKN2WKEUWPW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical integration of dynamical systems with Lie series: Relativistic acceleration and non-gravitational forces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"D. Bancelin, D. Hestroffer, W. Thuillot","submitted_at":"2016-08-29T13:05:08Z","abstract_excerpt":"The integration of the equations of motion in gravitational dynamical systems -- either in our Solar System or for extra-solar planetary system -- being non integrable in the global case, is usually performed by means of numerical integration. Among the different numerical techniques available for solving ordinary differential equations, the numerical integration using Lie series has shown some advantages. In its original form (Hanslmeier 1984), it was limited to the N-body problem where only gravitational interactions are taken into account. We present in this paper a generalisation of the me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08038","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+tbmrgoMJC2I/MxLrBnRiwCoF11lQy7F/cIznyE0blypAxv0C0Ye8yF5FXAsvCiAUyywjFW7UqjAWT/j5K71AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:06:26.170935Z"},"content_sha256":"bcd55db75c8bfeddaa686944752fa7957f50d8727a49c1911c1abcb2a717ecdd","schema_version":"1.0","event_id":"sha256:bcd55db75c8bfeddaa686944752fa7957f50d8727a49c1911c1abcb2a717ecdd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UR7VGWMYFR6MD5UCKN2WKEUWPW/bundle.json","state_url":"https://pith.science/pith/UR7VGWMYFR6MD5UCKN2WKEUWPW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UR7VGWMYFR6MD5UCKN2WKEUWPW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T20:06:26Z","links":{"resolver":"https://pith.science/pith/UR7VGWMYFR6MD5UCKN2WKEUWPW","bundle":"https://pith.science/pith/UR7VGWMYFR6MD5UCKN2WKEUWPW/bundle.json","state":"https://pith.science/pith/UR7VGWMYFR6MD5UCKN2WKEUWPW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UR7VGWMYFR6MD5UCKN2WKEUWPW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UR7VGWMYFR6MD5UCKN2WKEUWPW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6b74d0b1d6433a4de8aba98c2fe116a447a0c4e447dba26e88539ea21d3f97da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-08-29T13:05:08Z","title_canon_sha256":"e79b98287e14fabe112efbf40b5b200f3c8033178d1cb4539f8160cdfc88fe09"},"schema_version":"1.0","source":{"id":"1608.08038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08038","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08038v1","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08038","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"UR7VGWMYFR6M","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UR7VGWMYFR6MD5UC","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UR7VGWMY","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:bcd55db75c8bfeddaa686944752fa7957f50d8727a49c1911c1abcb2a717ecdd","target":"graph","created_at":"2026-05-18T01:07:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The integration of the equations of motion in gravitational dynamical systems -- either in our Solar System or for extra-solar planetary system -- being non integrable in the global case, is usually performed by means of numerical integration. Among the different numerical techniques available for solving ordinary differential equations, the numerical integration using Lie series has shown some advantages. In its original form (Hanslmeier 1984), it was limited to the N-body problem where only gravitational interactions are taken into account. We present in this paper a generalisation of the me","authors_text":"D. Bancelin, D. Hestroffer, W. Thuillot","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-08-29T13:05:08Z","title":"Numerical integration of dynamical systems with Lie series: Relativistic acceleration and non-gravitational forces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08038","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ed79d26beefed2e8f6df67d4f4c59bad5ab90f4d50964d923b06ad1bb8b7f8ad","target":"record","created_at":"2026-05-18T01:07:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6b74d0b1d6433a4de8aba98c2fe116a447a0c4e447dba26e88539ea21d3f97da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-08-29T13:05:08Z","title_canon_sha256":"e79b98287e14fabe112efbf40b5b200f3c8033178d1cb4539f8160cdfc88fe09"},"schema_version":"1.0","source":{"id":"1608.08038","kind":"arxiv","version":1}},"canonical_sha256":"a47f5359982c7cc1f68253756512967d9a1d51feb15c101ee182b5014520a57a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a47f5359982c7cc1f68253756512967d9a1d51feb15c101ee182b5014520a57a","first_computed_at":"2026-05-18T01:07:49.270290Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:49.270290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D5NoiAHFcUrJJQnrsYEaSI96J9eahP8GebC0ZEUYORNplJdN/x0K+NNI+pfYUU2bLtj1zQzlwVsYelkIlSGIAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:49.270763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed79d26beefed2e8f6df67d4f4c59bad5ab90f4d50964d923b06ad1bb8b7f8ad","sha256:bcd55db75c8bfeddaa686944752fa7957f50d8727a49c1911c1abcb2a717ecdd"],"state_sha256":"5baf8d91f226af7f4f1922e04364b7498cd3b543bcdfa53a580af70e11e539d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gRbMNPZafkwXXDShE/ezSRHFuO/TVg8n0G9TXRM1iAKEeeoPLkBN9xopiXsaoWJKajDAw93Oe6Xta5BgNTBxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:06:26.172910Z","bundle_sha256":"b600438322f3b5618e400aa703e765e68a52abdb3eb02f492bf5baa5b117eeec"}}